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Symmetry breaking and the twisted elastic ring

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Publication:1965148
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DOI10.1016/S0045-7825(98)00200-XzbMath0949.74032WikidataQ127740077 ScholiaQ127740077MaRDI QIDQ1965148

John H. Maddocks, Robert S. Manning

Publication date: 6 February 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)


zbMATH Keywords

perturbation expansionsymmetry breakingparameter-dependent two-point boundary value problemtwisted elastic ring


Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60)


Related Items (3)

A singularity free approach for Kirchhoff rods having uniformly distributed electrostatic charge ⋮ Energy-minimizing configurations for an elastic rod with self-contact energy close to the inextensible-unshearable and hard-contact limits ⋮ Numerical solution of a bending-torsion model for elastic rods



Cites Work

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  • A group-theoretic approach to the geometry of elastic rings
  • NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (II): BIFURCATION IN INFINITE DIMENSIONS
  • Elastic rods, rigid bodies, quaternions and the last quadrature
  • Nonlinear problems of elasticity




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